The probability of two events A and B happening simultaneously is 0.17. The probability of only event A happening is 0.34. Find the probability of event B happening, if event A has already happened

Answers

Answer 1

Answer:

because is the probability is 0.17 and 0.34 is fair

Answer 2

You can use the multiplication rule of probability.

The probability of event B happening if event A has already happened is 0.5

What does general multiplication rule of probability says for 2 events A and B?

[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]

Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]

Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\ [/tex]

Since the probability of only event A happening is 0.34, thus:

[tex]P(A) = 0.34[/tex]

Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\ 0.17 = 0.34 \times P(B|A)\\\\ \dfrac{0.17}{0.34} = P(B|A)\\\\ P(B|A) = \dfrac{1}{2} = 0.5[/tex]

Thus, we have the probability of event B happening when A has already happened as 0.5

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Related Questions

In the 2017 national Youth Risk Behavior Survey, 16.5% of high school students had ridden with a driver who had been drinking alcohol within the previous month. This data came from an SRS of 14,500 students. what is the mean and standard deviation

Answers

Answer:

[tex]Mean = 2392.5[/tex]

[tex]SD = 44.70[/tex]

Step-by-step explanation:

Given

[tex]Students = 14500[/tex]

[tex]p = 16.5\%[/tex]

Solving (a): The mean

Mean is calculated as thus:

[tex]Mean = np[/tex]

[tex]Mean = 16.5\% * 14500[/tex]

Convert % to decimal

[tex]Mean = 0.165 * 14500[/tex]

[tex]Mean = 2392.5[/tex]

Solving (b): The Standard Deviation

Standard deviation (SD) is calculated as thus:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{14500 * 16.5\%(1-16.5\%)}[/tex]

Convert % to decimal

[tex]SD = \sqrt{14500 * 0.165 * (1-0.165)}[/tex]

[tex]SD = \sqrt{14500 * 0.165 * 0.835}[/tex]

[tex]SD = \sqrt{1997.7375}[/tex]

[tex]SD = 44.6960568731[/tex]

[tex]SD = 44.70[/tex]

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

Lila has $35.55. She buys a magazine for $3.15, a cookie for $2.20, and a shirt for $14.99. She also gets $5 from a friend. How much money does she have after the above transactions?
A)$10.21
B)$14.61
C)$16.51
D)$20.21

Answers

Answer:

$20.21

Step-by-step explanation:

$35.55 - $3.15 = $32.40

$32.40 - $2.20 = $30.20

30.20 - $14.99 = $15.21

$15.21 + $5.00 = $20.21

The answer is D

$35.55 - $3.15 = $32.4 $32.4 - $30.2 $30.2 - $14.99 = $15.21 $15.21 + $5 = $20.21

I don’t understand plz help me

Answers

Answer:

C×6=D

Step-by-step explanation:

You don't know her me calculators they have or they bought so you take C for the calculators multiply by 6 and D is the product or answer.

Please help I have been stuck for 2 HOURS!

TY

Answers


the answer is
slope: - 1/6
y interpret (0,-6)
Ggfccffffffffffffffffff

Help I Dont Understand?

Answers

I am worry I tried but I think its the wrong answer good luck!

At what point do the graphs of x = 5 and y = -3 intersect​

Answers

(5,-3) pretty self explanatory

Please help me I am confused

Answers

Add 8 to both sides of the equation

which number are composite numbers-49,35,32,41,47

Answers

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

HELP!!! Parallel Line Proofs

Answers

They add to 180 when you connect the two lines

Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3

25, 26, 27, 28, ...


Answers

Answer:

29,30,31

this is basically like counting just add 1

Look at image please help me ASAP

Answers

Answer:

 [tex]\frac{-3 y^{11} }{x}[/tex]

Please please please help quickly!

Answers

Um th eanswer is 56-64-34-3402-30 = 19038

if Ad = 2x + 2 and cd= x +11, what is the value of x​

Answers

Answer: the answer is 9

Step-by-step explanation:

Pls help me, im not understand this

Answers

Answer:

Step-by-step explanation:

1/x+x/2=11/6 transformable to quadratic equations​

Answers

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

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2 1/7 divided by 1 2/5

Answers

The answer to the problem would be 5/7. Hope this helps.

What is the slope of this line?

5
1/5
-1/5
-5

Answers

Answer:

1/5

Step-by-step explanation:

You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.

And it is positive because it is pointed to the right side.

Hope this helps

Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?

Answers

10 because 10 - 150% = 10

Answer:

30

Step-by-step explanation:

tell me if im  wrong

sorry if i am TmT

the wheels on a bicycle have a circumference of 4 feet. if the bicycle travels 48 feet how many rotations does it make?

Answers

Answer:

12

Step-by-step explanation:

48 divided by 4 is 12

Determine the slope and the y-intercept of the table.

Answers

Answer:

Slope: 1.5

Y-Intercept: -1

Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have

Answers

Answer:

20 pieces of rope

Step-by-step explanation:

Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.

5 x 4 = 20 pieces of rope.

I hope that this helps! :)

Translate the following equation into a verbal sentence: x + 3 = 2(6 + x)

Answers

Answer:

"x" plus three equals to two times six plus "x"

Convert 12 ounces to pounds use the conversion rate 16 ounces = 1 pound

Answers

Answer:

3/4 pound

Step-by-step explanation:

12/ 16

÷4 on top and bottom

Answer:

0.75lbs

Step-by-step explanation:

Which of the following is a solution for 5 - 2xs-3?
-4
4
1
-1

Answers

i want to say -1. if you first combine like terms the equation would look like 2-2x. then next step i did was divide both sides by negative 2 to get the x by itself. after i did that i got -1 x.

which function has the range (-infinity,-2]U[0,infinity)?

a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1

Answers

Answer:

y= csc(x)+1

Step-by-step explanation:

A P E X

cosec(X) + 1  has the range (-infinity,-2]U[0,infinity)

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1

Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).

So,

Range of Cosec (x) +1 will be ,

= (-∞,-1+1] ∪ [1+1,∞).

= (-∞, 0] ∪ [2,∞)

Learn more about this concept here:

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#SPJ2

Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.



Select all statements that are true.





They both have a slope of 2.


They cross the x-axis at the same point.


They are parallel to each other.


They have the same slope.


They are in the same location.


They cross the y-axis at the same point.

Answers

Answer:

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Step-by-step explanation:

The 2 equations are;

y = 2x and y = 2x - 7

Now, from slope intercept equation,

y = mx + c

Where m is slope and c is the intercept on the y-axis

From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.

For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.

They should cross the x-axis when y = 0.

But at x = 0,we have;

y = 2x = 0. And x = 0

Also,for y = 2x - 7 is y = 2x - 7 = 0

2x = 7 and x = 7/2.

Thus,they don't cross the x - axis at the same point

Looking at the options, we can see that there are 3 correct ones from what we've described above namely;

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Answer:

its

Step-by-step explanation:

Jenna has a piece of paper that is 99 3/4 square inch in Area.
It is 10 1/2 inches long.
What is the width of the piece of paper in inches?

Answers

Answer:

Width is 9 1/2 in.

Step-by-step explanation:

My reasoning is that, since youve gotten the area (99 3/4), your asked to find the width. You have the length which is 10 1/2. In this situation youre expected to divide. What you divide is 99 3/4 by 10 1/2. If you calculate this, you get a quotient of 9 1/2. I’m not very ethical at explanations, but I hope you found it helpful somehow.

Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, make a list of all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)

Answers

Answer:

RGB. RBG, BRG, BGR, GBR, GRB

Step-by-step explanation:

Given

R, G and B

Required

List all possible arrangement

First, we need to calculate the number of arrangement

There are 3 letters and they are to be arranged in order of 3.

So, we have:

[tex]n = 3[/tex] and [tex]r =3[/tex]

Number of arrangement is:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

[tex]^3P_3 = \frac{3!}{(3 - 3)!}[/tex]

[tex]^3P_3 = \frac{3!}{0!}[/tex]

[tex]^3P_3 = \frac{3*2*1}{1}[/tex]

[tex]^3P_3 = \frac{6}{1}[/tex]

[tex]^3P_3 = 6[/tex]

Hence, number of arrangements is 6 and the arrangements are:

RGB. RBG, BRG, BGR, GBR, GRB

HELP!!!!i will give BRAINLIEST

Answers

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

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